Least Common Multiple of 5479 and 5483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5479 and 5483 the smallest integer that is 30041357 that is divisible by both numbers.

Least Common Multiple (LCM) of 5479 and 5483 is 30041357.

LCM(5479,5483) = 30041357

LCM of 5479 and 5483

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5479 and 5483

LCM of 5479 and 5483 is 30041357

Least common multiple can be found by multiplying the highest exponent prime factors of 5479 and 5483. First we will calculate the prime factors of 5479 and 5483.

Prime Factorization of 5479


5479 5479
1

Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:

5479 = 54791

Prime Factorization of 5483


5483 5483
1

Prime factors of 5483 are 5483. Prime factorization of 5483 in exponential form is:

5483 = 54831

Now multiplying the highest exponent prime factors to calculate the LCM of 5479 and 5483.

LCM(5479,5483) = 54791×54831
LCM(5479,5483) = 30041357

Factors of 5479

List of positive integer factors of 5479 that divides 5479 without a remainder.

1, 5479

Factors of 5483

List of positive integer factors of 5483 that divides 5483 without a remainder.

1, 5483

Least Common Multiple of 5479 and 5483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5479 and 5483, than apply into the LCM equation.

GCF(5479,5483) = 1
LCM(5479,5483) = ( 5479 × 5483) / 1
LCM(5479,5483) = 30041357 / 1
LCM(5479,5483) = 30041357

Properties of LCM 5479 and 5483

(i) The LCM of 5483 and 5479 is associative

LCM of 5479 and 5483 = LCM of 5483 and 5479

Related Least Common Multiples of 5479

Related Least Common Multiples of 5483

Frequently Asked Questions on LCM of 5479 and 5483

1. What is the LCM of 5479 and 5483?

Answer: LCM of 5479 and 5483 is 30041357.

2. What are the Factors of 5479?

Answer: Factors of 5479 are 1, 5479. There are 2 integers that are factors of 5479. The greatest factor of 5479 is 5479.

3. What are the Factors of 5483?

Answer: Factors of 5483 are 1, 5483. There are 2 integers that are factors of 5483. The greatest factor of 5483 is 5483.

4. How to Find the LCM of 5479 and 5483?

Answer:

Least Common Multiple of 5479 and 5483 = 30041357

Step 1: Find the prime factorization of 5479

5479 = 5479

Step 2: Find the prime factorization of 5483

5483 = 5483

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 30041357 = 5479 x 5483

Step 4: Therefore, the least common multiple of 5479 and 5483 is 30041357.